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Comptes Rendus Mathématique
Volume 342, n° 11
pages 869-872 (juin 2006)
Doi : 10.1016/j.crma.2006.03.029
Received : 13 December 2005 ;  accepted : 24 Mars 2006
Divergence theorems in path space II: degenerate diffusions
Des théorèmes de divergences dans lʼespace de chemins II : le cas de diffusions dégénérées

Denis Bell 1
Department of Mathematics, University of North Florida, 4567 St. Johns Bluff Road South, Jacksonville, FL 32224, USA 


Let x denote an elliptic diffusion process defined on a smooth compact manifold M . In a previous work, we introduced a class of vector fields on the path space of x and studied the admissibility of this class of vector fields with respect to the law of x . In the present Note, we extend this study to the case of degenerate diffusions. To cite this article: D. Bell, C. R. Acad. Sci. Paris, Ser. I 342 (2006).

The full text of this article is available in PDF format.

Soit x une diffusion elliptique définie sur une variété compacte régulière M . Dans un travail précédent, nous avons introduit une classe de champs de vecteurs sur lʼespace de chemins de x et nous avons étudié lʼadmissibilité de cette classe de champs de vecteur par rapport à la loi de x . Dans la présente Note, nous étendons cette étude au cas de diffusions dégénérées. Pour citer cet article : D. Bell, C. R. Acad. Sci. Paris, Ser. I 342 (2006).

The full text of this article is available in PDF format.
1  Research partially supported by NSF grant DMS-0451194.

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